Properties

Label 169338j
Number of curves $1$
Conductor $169338$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 169338j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
169338.r1 169338j1 \([1, 1, 1, -5496, 989607]\) \(-3803721481/85854366\) \(-414402626498094\) \([]\) \(1290240\) \(1.4856\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 169338j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 169338j do not have complex multiplication.

Modular form 169338.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + 5 q^{7} + q^{8} + q^{9} - q^{10} + 6 q^{11} - q^{12} + 5 q^{14} + q^{15} + q^{16} + q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display